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Finding the Third Proportional to 15,226 and 30,869

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Solution

The third proportional to 15,226 and 30,869 is: 62,583.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,226 : 30,869 = 30,869 : x
  2. Step 2: Convert to fraction form
    15,226/30,869 = 30,869/x
  3. Step 3: Cross multiply
    15,226x = 30,869 × 30,869
  4. Step 4: Simplify right side
    15,226x = 952,895,161
  5. Step 5: Solve for x
    x = 952,895,161/15,226
  6. Step 6: Final answer
    x = 62,583.42

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.